An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a single dog for x days, which table models the situation? A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 12, 15, 18.
A 2-column table with 3 rows. Column 1 is labeled x with entries 36, 54, 72. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 36, 54, 72.

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.